mu()

Returns the geometrically derived stability factor for the load

Syntax
y = mu(S)

Arguments

Name	Description	Range	Type	Required
S	scattering matrix of a 2-port network	(-∞, ∞)	complex	yes

Examples

x = mu(S)

Defined in

$HPEESOF_DIR/expressions/ael/circuit_fun.ael

See Also

mu_prime()

Notes/Equations

This measurement gives the distance from the center of the Smith chart to the nearest output (load) stability circle. This stability factor is given by:
mu = {1-|S ₁₁ | ² } / {|S ₂₂ - conj(S ₁₁ )*Delta | + |S ₁₂ *S ₂₁ | }
where Delta is the determinant of the S-parameter matrix. Having mu > 1 is the single necessary and sufficient condition for unconditional stability of the 2-port network.

Reference

1. M. L. Edwards and J. H. Sinsky, "A new criterion for linear 2-port stability using geometrically derived parameters", IEEE Transactions on Microwave Theory and Techniques, Vol. 40, No. 12, pp. 2303-2311, Dec. 1992.